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Finding the Fourth Proportional to 7,894.17, 11,841.89 and 4,607.60

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Solution

The fourth proportional to 7,894.17, 11,841.89 and 4,607.60 is: 6,911.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.17 : 11,841.89 = 4,607.60 : x
  2. Step 2: Convert to fraction form
    7,894.17/11,841.89 = 4,607.60/x
  3. Step 3: Cross multiply
    7,894.17x = 11,841.89 × 4,607.60
  4. Step 4: Simplify right side
    7,894.17x = 54,562,610.12
  5. Step 5: Solve for x
    x = 54,562,610.12/7,894.17
  6. Step 6: Final answer
    x = 6,911.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.